Isogenies of Jacobians

By studying the infinitesimal variations of the Hodge structure and a generalization of the classical Babbage-Enriques-Petri theorem, we prove that the Jacobian variety of a generic element of a codimension k subvariety of Mg is not isogenous to different Jacobian if g > 3k + 4. We extend this re...

Descripción completa

Detalles Bibliográficos
Autores: Marcucci, Valeria, Naranjo del Val, Juan Carlos, Pirola, Gian Prieto
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/174132
Acceso en línea:http://hdl.handle.net/2445/174132
Access Level:acceso abierto
Palabra clave:Equacions de Hamilton-Jacobi
Càlcul de variacions
Varietats abelianes
Hamilton-Jacobi equations
Calculus of variations
Abelian varieties
id ES_278647de71ecd9dceff10ae00dcedf50
oai_identifier_str oai:recercat.cat:2445/174132
network_acronym_str ES
network_name_str España
repository_id_str
spelling Isogenies of JacobiansMarcucci, ValeriaNaranjo del Val, Juan CarlosPirola, Gian PrietoEquacions de Hamilton-JacobiCàlcul de variacionsVarietats abelianesHamilton-Jacobi equationsCalculus of variationsAbelian varietiesBy studying the infinitesimal variations of the Hodge structure and a generalization of the classical Babbage-Enriques-Petri theorem, we prove that the Jacobian variety of a generic element of a codimension k subvariety of Mg is not isogenous to different Jacobian if g > 3k + 4. We extend this result to k = 1, g > 5 by using degeneration methods.Foundation Compositio Mathematica2021202120152021info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion17 p.application/pdfhttp://hdl.handle.net/2445/174132http://hdl.handle.net/2445/174132Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció del document publicat a: https://doi.org/10.14231/AG-2016-020Algebraic Geometry, 2015, vol. 3, num. 4, p. 424-440https://doi.org/10.14231/AG-2016-020cc-by-nc (c) Marcucci, Valeria et al., 2015http://creativecommons.org/licenses/by-nc/3.0/esinfo:eu-repo/semantics/openAccessoai:recercat.cat:2445/1741322026-05-29T05:05:01Z
dc.title.none.fl_str_mv Isogenies of Jacobians
title Isogenies of Jacobians
spellingShingle Isogenies of Jacobians
Marcucci, Valeria
Equacions de Hamilton-Jacobi
Càlcul de variacions
Varietats abelianes
Hamilton-Jacobi equations
Calculus of variations
Abelian varieties
title_short Isogenies of Jacobians
title_full Isogenies of Jacobians
title_fullStr Isogenies of Jacobians
title_full_unstemmed Isogenies of Jacobians
title_sort Isogenies of Jacobians
dc.creator.none.fl_str_mv Marcucci, Valeria
Naranjo del Val, Juan Carlos
Pirola, Gian Prieto
author Marcucci, Valeria
author_facet Marcucci, Valeria
Naranjo del Val, Juan Carlos
Pirola, Gian Prieto
author_role author
author2 Naranjo del Val, Juan Carlos
Pirola, Gian Prieto
author2_role author
author
dc.subject.none.fl_str_mv Equacions de Hamilton-Jacobi
Càlcul de variacions
Varietats abelianes
Hamilton-Jacobi equations
Calculus of variations
Abelian varieties
topic Equacions de Hamilton-Jacobi
Càlcul de variacions
Varietats abelianes
Hamilton-Jacobi equations
Calculus of variations
Abelian varieties
description By studying the infinitesimal variations of the Hodge structure and a generalization of the classical Babbage-Enriques-Petri theorem, we prove that the Jacobian variety of a generic element of a codimension k subvariety of Mg is not isogenous to different Jacobian if g > 3k + 4. We extend this result to k = 1, g > 5 by using degeneration methods.
publishDate 2015
dc.date.none.fl_str_mv 2015
2021
2021
2021
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/2445/174132
http://hdl.handle.net/2445/174132
url http://hdl.handle.net/2445/174132
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: https://doi.org/10.14231/AG-2016-020
Algebraic Geometry, 2015, vol. 3, num. 4, p. 424-440
https://doi.org/10.14231/AG-2016-020
dc.rights.none.fl_str_mv cc-by-nc (c) Marcucci, Valeria et al., 2015
http://creativecommons.org/licenses/by-nc/3.0/es
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc-by-nc (c) Marcucci, Valeria et al., 2015
http://creativecommons.org/licenses/by-nc/3.0/es
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 17 p.
application/pdf
dc.publisher.none.fl_str_mv Foundation Compositio Mathematica
publisher.none.fl_str_mv Foundation Compositio Mathematica
dc.source.none.fl_str_mv Articles publicats en revistes (Matemàtiques i Informàtica)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869404891702624256
score 15,811543

Similares en LA Referencia